Results 51 to 60 of about 2,589 (113)
The shift‐homological spectrum and parametrising kernels of rank functions
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
The Markov–Zariski topology of an abelian group
According to Markov, a subset of an abelian group G of the form {x in G: nx=a}, for some integer n and some element a of G, is an elementary algebraic set; finite unions of elementary algebraic sets are called algebraic sets. We prove that a subset of an abelian group G is algebraic if and only if it is closed in every precompact (=totally bounded ...
DIKRANJAN, Dikran, SHAKHMATOV D.
openaire +3 more sources
Local–global principles for semi‐integral points on Markoff orbifold pairs
Abstract We study local–global principles for semi‐integral points on orbifold pairs of Markoff type. In particular, we analyse when these orbifold pairs satisfy weak weak approximation, weak approximation and strong approximation off a finite set of places.
Vladimir Mitankin, Justin Uhlemann
wiley +1 more source
Hindman's finite sums theorem and its application to topologizations of algebras
The first part of the paper is a brief overview of Hindman's finite sums theorem, its prehistory and a few of its further generalizations, and a modern technique used in proving these and similar results, which is based on idempotent ultrafilters in ...
Saveliev, Denis I.
core
A Hilton–Milner theorem for exterior algebras
Abstract Recent work of Scott and Wilmer and of Woodroofe extends the Erdős–Ko–Rado theorem from set systems to subspaces of k$k$‐forms in an exterior algebra. We prove an extension of the Hilton–Milner theorem to the exterior algebra setting, answering in a strong way a question asked by these authors.
Denys Bulavka +2 more
wiley +1 more source
Existence and orthogonality of stable envelopes for bow varieties
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
On the Zariski topology over an $L$-module $M$
Summary: Let \(L\) be a multiplicative lattice and \(M\) be an \(L\)-module. In this study, we present a topology said to be the Zariski topology over \(\sigma (M)\), the collection of all prime elements of an \(L\)-module \(M\). We research some results on the Zariski topology over \(\sigma (M)\). We show that the topology is a \(T_{0}\)-space and a \(
Çallıalp, Fethi +2 more
openaire +3 more sources

